Atkin-Lehner |
2+ 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
33550k |
Isogeny class |
Conductor |
33550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
20968750 = 2 · 56 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ -3 5+ -2 11- 1 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-367,2791] |
[a1,a2,a3,a4,a6] |
Generators |
[9:8:1] |
Generators of the group modulo torsion |
j |
350402625/1342 |
j-invariant |
L |
2.2325247687385 |
L(r)(E,1)/r! |
Ω |
2.1650003121201 |
Real period |
R |
0.51559456048125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1342d1 |
Quadratic twists by: 5 |